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Finding the Fourth Proportional to 422,804.43, 634,139.12 and 123,214.92

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Solution

The fourth proportional to 422,804.43, 634,139.12 and 123,214.92 is: 184,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,804.43 : 634,139.12 = 123,214.92 : x
  2. Step 2: Convert to fraction form
    422,804.43/634,139.12 = 123,214.92/x
  3. Step 3: Cross multiply
    422,804.43x = 634,139.12 × 123,214.92
  4. Step 4: Simplify right side
    422,804.43x = 78,135,400,323.60
  5. Step 5: Solve for x
    x = 78,135,400,323.60/422,804.43
  6. Step 6: Final answer
    x = 184,802.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.